Search a number
-
+
504332201114250 = 235314915129887681
BaseRepresentation
bin111001010101011111111110…
…1101100100011101010001010
32110010200200120020021110120220
41302222333331230203222022
51012100434321441124000
64544343003102330510
7211141541044022055
oct16252777554435212
92403620506243526
10504332201114250
111367720a3685453
1248692b61889a36
13188544266b4982
148c77b473d3a9c
153d48c8802d1a0
hex1caaffdb23a8a

504332201114250 has 128 divisors (see below), whose sum is σ = 1275654088051200. Its totient is φ = 132701299200000.

The previous prime is 504332201114243. The next prime is 504332201114309. The reversal of 504332201114250 is 52411102233405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1930410 + ... + 31818090.

It is an arithmetic number, because the mean of its divisors is an integer number (9966047562900).

Almost surely, 2504332201114250 is an apocalyptic number.

504332201114250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 504332201114250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637827044025600).

504332201114250 is an abundant number, since it is smaller than the sum of its proper divisors (771321886936950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

504332201114250 is a wasteful number, since it uses less digits than its factorization.

504332201114250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29888001 (or 29887991 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 504332201114250 its reverse (52411102233405), we get a palindrome (556743303347655).

The spelling of 504332201114250 in words is "five hundred four trillion, three hundred thirty-two billion, two hundred one million, one hundred fourteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 149 150 151 250 298 302 375 447 453 745 750 755 894 906 1490 1510 2235 2265 3725 3775 4470 4530 7450 7550 11175 11325 18625 18875 22350 22499 22650 37250 37750 44998 55875 56625 67497 111750 112495 113250 134994 224990 337485 562475 674970 1124950 1687425 2812375 3374850 5624750 8437125 16874250 29887681 59775362 89663043 149438405 179326086 298876810 448315215 747192025 896630430 1494384050 2241576075 3735960125 4453264469 4483152150 4513039831 7471920250 8906528938 9026079662 11207880375 13359793407 13539119493 22266322345 22415760750 22565199155 26719586814 27078238986 44532644690 45130398310 66798967035 67695597465 111331611725 112825995775 133597934070 135391194930 222663223450 225651991550 333994835175 338477987325 556658058625 564129978875 667989670350 672442934819 676955974650 1113316117250 1128259957750 1344885869638 1669974175875 1692389936625 2017328804457 3339948351750 3362214674095 3384779873250 4034657608914 6724429348190 10086644022285 16811073370475 20173288044570 33622146740950 50433220111425 84055366852375 100866440222850 168110733704750 252166100557125 504332201114250